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Finding the Third Proportional to 513,206 and 805,055

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Solution

The third proportional to 513,206 and 805,055 is: 1,262,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,206 : 805,055 = 805,055 : x
  2. Step 2: Convert to fraction form
    513,206/805,055 = 805,055/x
  3. Step 3: Cross multiply
    513,206x = 805,055 × 805,055
  4. Step 4: Simplify right side
    513,206x = 648,113,553,025
  5. Step 5: Solve for x
    x = 648,113,553,025/513,206
  6. Step 6: Final answer
    x = 1,262,872.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.